1. Pythagorean Theorem Rachel Griffith

2. Pythagoras was a Greek philosopher and mathematician who founded the Pythagorean Theorem. He also discovered the relationship between math and the sounds of strings on musical instruments. Clipart Credit: Clkr.com Free Clipart Pythagoras

3. Discuss the definition of the Pythagorean Theorem. The square of the hypotenuse of a right triangle is equal to the combined squares of the two legs of the same triangle. The Pythagorean Theorem a 2 + b 2 = c 2 hypotenuse leg a2a2 b2b2 c2c2

4. Description of objectives. By the end of this video you will be able to: - Recognize right triangles. - Determine whether it is appropriate to use the Pythagorean theorem - Construct the Pythagorean theorem equation and solve it. - Identify real life situations in which to use the Pythagorean theorem. Objectives

5. Characteristics of a right triangle: 3 sides - leg, leg, hypotenuse one angle is always 90° hypotenuse is the longest side and is across from the 90° angle Right Triangle leg hypotenuse 90°

6. Please take a few seconds and choose which triangle is a right triangle! Which triangle is a right triangle? A.B.C.

7. Let’s put the Pythagorean theorem to use and put it in an equation! I will discuss how to set up the equation. Equation a c b a 2 + b 2 = c 2

8. Now it’s your turn to set up an equation using the Pythagorean theorem. I will give you a few minutes before I present the proper equation for you to compare to what you wrote. Your turn! 3 4 c 3 2 + 4 2 = c 2

9. Solve for c Now that you have produced the equation it’s time to solve it. The viewers will be given about 30 seconds to solve the equation before the solving process begins to enter the screen. 3 2 + 4 2 = c 2 9+ 16= c 2 9+ 16= 25 √25= 5 C = 5 3232 c2c2 4242

10. Let’s try one more! 15 9 a a 2 + 9 2 = 15 2 a 2 + 81 = 225 -81 a 2 = 144 √144 = 12 a = 12 The viewers will be given the triangle and about 30 seconds to solve the problem. After 30 seconds the steps to solve the problem will begin to enter the screen accompanied by the explanation.

11. In which real world situation would you use the Pythagorean Theorem? The viewer will be asked to choose which situation would it be appropriate to use the Pythagorean theorem in.I will briefly discuss the correct answer and the reason.

12. How far is the fall? 6 10 a 2 + 6 2 = 10 2 a 2 + 36 = 100 -36 -36 a 2 = 64 √a 2 = √64 a = 8 I will discuss the problem which is to be solve: How far is the fall? The viewers will be given time to solve the problem before the solution appears on the screen

13. Let’s review! Right Triangle a c b a 2 + b 2 = c 2 Pythagorean Theorem I will quickly review what was taught in the video: the right triangle and the Pythagorean Theorem.